Maths Exam

1. Simplify 1

Simplify the following expression: $$ -5\times2 + -1 - -6 - 2(-2)5 $$
Correct Answer
$$ 15$$ or 15.0000

2. Simplify 2

Simplify the following expression: $$ \frac{2\left(2 - 2\right)}{-5(-3) - \left(5 + -4\right)} $$
Correct Answer
$$ 0$$ or 0.0

3. Fractions 1

Simplify the following expression: $$ \frac{3}{5} + \frac{2}{3} $$
Correct Answer
$$ \frac{19}{15}$$ or 1.2666666666666666

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{5}{3}}{\frac{1}{4}} $$
Correct Answer
$$ \frac{20}{3}$$ or 6.666666666666667

5. Significant figures

1. Write the following to 5 significant figures: 0.000050677903
Correct Answer
0.000050678 or $$5.0678\times10^{-5}$$
2. Write the following to 5 significant figures: 13.560232
Correct Answer
13.560 or $$1.3560\times10^{1}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 0.0334095
Correct Answer
$$3.34\times10^{-2}$$
2. Write the following in standard form to 2 significant digits: 3662.91
Correct Answer
$$3.7\times10^{3}$$

7. Significant figures

1. Write the following in preferred standard form to 4 significant digits: 2245.4
Correct Answer
$$2.245\times10^{3}$$
2. Write the following in preferred standard form to 3 significant digits: 0.039961
Correct Answer
$$40.0\times10^{-3}$$

8. Simplify 2

Simplify the following expression: $$ 4 - 6 + -5\times5 - {\left(-6 - -2\right)}^{2} $$
Correct Answer
$$ -43$$ or -43.0000

9. Simplify 1

Simplify the following expression: $$ 2\times5 - \left(-2 - 3\right) + {\left(3 - 5\right)}^{2} $$
Correct Answer
$$ 19$$ or 19.0000

10. Simplify 2

Simplify the following expression: $$ \frac{{\left(\frac{-1}{5}\right)}^{2}}{(-2) + -3 - 3} $$
Correct Answer
$$ \frac{-1}{200}$$ or -0.00500000


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